a.
\(\frac{2^5\times4^5\times5^{43}}{125^{44}}=\frac{2^5\times\left(2^2\right)^5\times5^{43}}{\left(5^3\right)^{44}}=\frac{2^5\times2^{10}\times5^{43}}{5^{132}}=\frac{2^{15}}{5^{89}}\)
b.
\(\frac{9^{24}}{27^{18}}=\frac{\left(3^2\right)^{24}}{\left(3^3\right)^{18}}=\frac{3^{48}}{3^{54}}=\frac{1}{3^6}=\frac{1}{729}\)
c.
\(\left(-\frac{2}{3}\right)^2+\left|-\frac{7}{8}\right|-\frac{11}{12}=\frac{4}{9}+\frac{7}{8}-\frac{11}{12}=\frac{29}{72}\)
Chúc bạn học tốt ^^
a) \(2^5.4^5.5^{43}:125^{44}=\frac{2^5.2^{10}.5^{43}}{5^{132}}=\frac{2^{15}}{5^{89}}\)
b) \(\frac{9^{24}}{27^{13}}=\frac{3^{42}}{3^{39}}=3^3=27\)
c) \(\left(\frac{-2}{3}\right)^2+\left|\frac{-7}{8}\right|-\frac{11}{12}=\frac{4}{9}+\frac{7}{8}-\frac{11}{12}\)
Sau đó quy đồng lên đươc kết quả là \(\frac{29}{72}\)
Chúc bạn làm bài tốt